Question

What is `7sectheta-4costheta` in terms of `sintheta`?

Answer 1

`7sectheta-4costheta`

`=7/costheta-4costheta`

`=(7-4cos^2theta)/costheta`

`=(7-4(1-sin^2theta))/sqrt(1-sin^2theta)`

`=(3+4sin^2theta)/sqrt(1-sin^2theta)`